S. Maksymenko

activity

20032026

most citedHomotopy types of stabilizers and orbits of Morse functions on surfaces

35 citations · 200 across the 45 of their papers we have counts for

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6 papers · 1 filter

math.AT2022★ 7 cited

Homotopy types of diffeomorphism groups of polar Morse-Bott foliations on lens spaces, 1

Oleksandra Khokhliuk, Sergiy Maksymenko

Let $T = S^{1} \times D^{2}$ be the solid torus, $F$ the Morse-Bott foliation on $T$ into $2$ -tori parallel to the boundary and one singular circle $S^{1} \times 0$ , which is the…

math.AT2022★ 4 cited

Foliated and compactly supported isotopies of regular neighborhoods

Oleksandra Khokhliuk, Sergiy Maksymenko

Let $F$ be a foliation with a "singular" submanifold $B$ on a smooth manifold $M$ and $p : E \to B$ be a regular neighborhood of $B$ in $M$ . Under certain "homogeneity" ass…

math.AT2021

Fundamental groupoids and homotopy types of non-compact surfaces

Sergiy Maksymenko, Oleksii Nikitchenko

The paper contains an application of van Kampen theorem for groupoids for computation of homotopy types of certain class of non-compact foliated surfaces obtained by gluing at most…

math.AT2020★ 8 cited

Smooth approximations and their applications to homotopy types

Oleksandra Khokhliuk, Sergiy Maksymenko

Let $M, N$ the be smooth manifolds, $C^{r} (M, N)$ the space of $C^{r}$ maps endowed with weak $C^{r}$ Whitney topology, and $B \subset C^{r} (M, N)$ an…

math.AT2014★ 7 cited

Homotopy properties of spaces of smooth functions on 2-torus

Sergiy Maksymenko, Bogdan Feshchenko

Let $f : T^{2} \to R$ be a Morse function on a 2-torus, $S (f)$ and $O (f)$ be its stabilizer and orbit with respect to the right action of the group $\mathcal…

math.AT2007★ 10 cited

Homotopy dimension of orbits of Morse functions on surfaces

Sergiy Maksymenko

Let $f$ be a real- or circle-valued Morse function on a compact surface M having exactly $n > 0$ critical points. Denote by $O$ the orbit of $f$ with respect to the right action of t…